Twin-screw extrusion device and processing method therefor
Abstract
A twin-screw extrusion device is disclosed, which includes a barrel and a twin-screw mechanism, the twin-screw mechanism includes a first screw, a second screw and a drive assembly, the drive assembly includes a plurality of idler gears and two mutually engaged elliptical gears, one of the elliptical gears is fixedly connected to the first screw, the other elliptical gear synchronously rotates with one of the idler gears, the last idler gear is fixedly connected to the second screw, a rotation speed of the first screw is ω 1 =N, an eccentricity of each of the elliptical gears is k, 0<k<0.8, an included angle between a connecting line of the first screw and the second screw and a long axis of each of the elliptical gears is φ, and a rotation speed of the second screw is ω 2 , satisfying ω 2 = ( 1 - k 2 ) N 1 - 2 k cos φ + k 2 .
Claims
exact text as granted — not AI-modifiedWhat is claimed is:
1. A twin-screw extrusion device, comprising:
a barrel;
a twin-screw mechanism comprising a first screw, a second screw and a drive assembly, wherein the first screw and the second screw are both rotatably connected to the barrel, the first screw is engaged with the second screw, the drive assembly comprises a plurality of idler gears and two mutually engaged elliptical gears, one of the elliptical gears is fixedly connected to the first screw, the other elliptical gear is synchronously rotatable with one of the idler gears, the plurality of idler gears are in transmission connection, and a last one of the idler gears is fixedly connected to the second screw, so that the first screw and the second screw are rotatable in a same direction;
wherein the first screw is rotatable at a constant speed, a rotation speed of the first screw is ω 1 =N, an eccentricity of each of the elliptical gears is k, 0<k<0.8, an included angle between a connecting line of the first screw and the second screw and a long axis of each of the elliptical gears is φ, and a rotation speed of the second screw is ω 2 , satisfying
ω
2
=
(
1
-
k
2
)
N
1
-
2
k
cos
φ
+
k
2
.
2. The twin-screw extrusion device according to claim 1 , wherein an outer diameter of the first screw and the second screw is D, an outer radius of the first screw and the second screw is R, an inner diameter of the first screw and the second screw is d, and an inner radius of the first screw and the second screw is r;
a center distance between the first screw and the second screw is C, and
C
=
R
+
r
=
(
D
+
d
)
2
;
an engaged angle of the first screw and the second screw is β, and
β
=
arccos
(
C
D
)
;
a section of the first screw is formed by connecting curve arcs S 12 , S 23 , S 34 , S 45 , S 56 , S 67 , S 78 , S 89 and S 91 , and corresponding central angles are φ 1 , φ 2 +β, φ 3 , φ 4 +β, φ 5 , φ 6 +β, φ 7 , φ 8 +β and φ 9 ; a section of the second screw is formed by S′ 12 , S′ 23 , S′ 34 , S′ 45 , S′ 56 , S′ 67 , S′ 78 , S′ 89 and S′ 91 , corresponding central angels are φ′ 1 , φ′ 2 +β, φ′ 3 , φ′ 4 +β, φ′ 5 , φ 6 +β, φ′ 7 , φ′ 8 +β and φ′ 9 , a rotation center of the first screw is O, and a rotation center of the second screw is O′;
S 12 , S 56 and S 91 are a root circle arc with O as a circle center and r as a radius; S 34 and S 78 are a top circle arc with O as a circle center and r as a radius; S′ 12 , S′ 56 and S′ 91 are a top circle arc with O′ as a circle center and R as a radius; S′ 34 and S′ 78 are a root circle arc with O′ as a circle center and r as a radius;
an initial phase angle is θ 0 , 0≤θ 0 ≤360°, and K d =(1+k)/(1−k);
the central angels satisfy:
φ
1
′
=
2
a
tan
(
K
d
tan
(
φ
1
−
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
;
φ
1
′
+
β
=
2
a
tan
(
K
d
tan
(
φ
1
+
φ
2
−
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
;
φ
1
′
+
β
+
φ
2
′
=
2
a
tan
(
K
d
tan
(
φ
1
+
φ
2
+
β
−
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
;
φ
1
′
+
β
+
φ
2
′
+
φ
3
′
=
2
a
tan
(
K
d
tan
(
φ
1
+
φ
2
+
β
+
φ
3
−
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
;
φ
1
′
+
β
+
φ
2
′
+
φ
3
′
+
φ
4
′
=
2
a
tan
(
K
d
tan
(
φ
1
+
φ
2
+
2
β
+
φ
3
−
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
;
φ
1
′
+
2
β
+
φ
2
′
+
φ
3
′
+
φ
4
′
=
2
a
tan
(
K
d
tan
(
φ
1
+
φ
2
+
2
β
+
φ
3
+
φ
4
−
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
;
φ
1
′
+
2
β
+
φ
2
′
+
φ
3
′
+
φ
4
′
+
φ
5
′
=
2
a
tan
(
K
d
tan
(
φ
1
+
φ
2
+
2
β
+
φ
3
+
φ
4
+
φ
5
−
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
;
φ
1
′
+
3
β
+
φ
2
′
+
φ
3
′
+
φ
4
′
+
φ
5
′
=
2
a
tan
(
K
d
tan
(
φ
1
+
φ
2
+
2
β
+
φ
3
+
φ
4
+
φ
5
+
φ
6
−
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
;
φ
1
′
+
3
β
+
φ
2
′
+
φ
3
′
+
φ
4
′
+
φ
5
′
+
φ
6
′
=
2
a
tan
(
K
d
tan
(
φ
1
+
φ
2
+
3
β
+
φ
3
+
φ
4
+
φ
5
+
φ
6
−
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
;
φ
1
′
+
3
β
+
φ
2
′
+
φ
3
′
+
φ
4
′
+
φ
5
′
+
φ
6
′
+
φ
7
′
=
2
a
tan
(
K
d
tan
(
φ
1
+
φ
2
+
3
β
+
φ
3
+
φ
4
+
φ
5
+
φ
6
+
φ
7
−
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
;
φ
1
′
+
3
β
+
φ
2
′
+
φ
3
′
+
φ
4
′
+
φ
5
′
+
φ
6
′
+
φ
7
′
+
φ
8
′
=
2
a
tan
(
K
d
tan
(
φ
1
+
φ
2
+
4
β
+
φ
3
+
φ
4
+
φ
5
+
φ
6
+
φ
7
−
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
;
φ
1
′
+
4
β
+
φ
2
′
+
φ
3
′
+
φ
4
′
+
φ
5
′
+
φ
6
′
+
φ
7
′
+
φ
8
′
=
2
a
tan
(
K
d
tan
(
φ
1
+
φ
2
+
4
β
+
φ
3
+
φ
4
+
φ
5
+
φ
6
+
φ
7
+
φ
8
−
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
;
φ
1
′
+
4
β
+
φ
2
′
+
φ
3
′
+
φ
4
′
+
φ
5
′
+
φ
6
′
+
φ
7
′
+
φ
8
′
+
φ
9
′
=
2
a
tan
(
K
d
tan
(
φ
1
+
φ
2
+
4
β
+
φ
3
+
φ
4
+
φ
5
+
φ
6
+
φ
7
+
φ
8
+
φ
9
−
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
;
∑
i
=
1
9
φ
i
+
4
β
=
360
;
∑
i
=
1
9
φ
1
′
+
4
β
=
360.
3. The twin-screw extrusion device according to claim 2 , wherein connection points between every two adjacent curve arcs of the first screw is M 1 , M 2 , M 3 , M 4 , M 5 , M 6 , M 7 , M 8 and M 9 , which respectively correspond to curve arcs S 12 , S 23 , S 34 , S 45 , S 56 , S 67 , S 78 , S 89 and S 91 , and an auxiliary angle is given as θ, 0≤θ≤β;
OM 2 is taken as a polar axis, a polar diameter corresponding to any position of the curve arc S 23 is OP 2 =ρ 2 (θ), and an included angle between the polar diameter OP 2 and the polar axis OM 2 is a polar angle ε 2 (θ), which satisfies:
ε
2
(
θ
)
=
2
arctan
[
tan
(
φ
1
′
+
θ
2
-
a
tan
(
K
d
tan
(
θ
0
2
)
)
)
/
K
d
]
+
θ
0
-
φ
1
+
arctan
(
R
sin
θ
C
-
R
cos
θ
)
;
ρ
2
(
θ
)
=
C
2
+
R
2
-
2
CR
cos
θ
;
OM 5 is taken as a polar axis, a polar diameter corresponding to any position of the curve arc S 45 is OP 5 =ρ 4 (θ), and an included angle between the polar diameter OP 5 and the polar axis OM 5 is a polar angle ε 4 (θ), which satisfies:
ε
4
(
θ
)
=
φ
1
+
φ
2
+
φ
3
+
φ
4
+
2
β
-
θ
0
-
2
arctan
[
tan
(
φ
1
′
+
β
+
φ
2
′
+
φ
3
′
+
φ
4
′
+
θ
2
-
a
tan
(
K
d
tan
(
θ
0
2
)
)
)
/
K
d
]
+
arctan
(
R
sin
(
β
-
θ
)
C
-
R
cos
(
β
-
θ
)
)
;
ρ
4
(
θ
)
=
C
2
+
R
2
-
2
CR
cos
(
β
-
θ
)
;
OM 6 is taken as a polar axis, a polar diameter corresponding to any position of the curve arc S 67 is OP 6 =ρ 6 (θ), and an included angle between the polar diameter OP 6 and the polar axis OM 6 is a polar angle ε 6 (θ), which satisfies:
ε
6
(
θ
)
=
2
arctan
[
tan
(
φ
1
′
+
2
β
+
φ
2
′
+
φ
3
′
+
φ
4
′
+
φ
4
′
+
φ
5
′
+
θ
2
-
a
tan
(
K
d
tan
(
θ
0
2
)
)
)
/
K
d
]
+
θ
0
-
φ
1
-
φ
2
-
φ
3
-
φ
4
-
φ
5
-
2
β
+
arctan
(
R
sin
θ
C
-
R
cos
θ
)
;
ρ
6
(
θ
)
=
C
2
+
R
2
-
2
CR
cos
θ
;
OM 9 is taken as a polar axis, a polar diameter corresponding to any position of the curve arc S 89 is OP 8 =ρ 8 (θ), and an included angle between the polar diameter OP 8 and the polar axis OM 9 is a polar angle ε 8 (θ), which satisfies:
ε
8
(
θ
)
=
φ
1
+
4
β
+
φ
2
+
φ
3
+
φ
4
+
φ
5
+
φ
6
+
φ
7
+
φ
8
-
θ
0
-
2
arctan
[
tan
(
φ
1
′
+
3
β
+
φ
2
′
+
φ
3
′
+
φ
4
′
+
φ
4
′
+
φ
5
′
+
φ
6
′
+
φ
7
′
+
φ
8
′
+
θ
2
-
a
tan
(
K
d
tan
(
θ
0
2
)
)
)
/
K
d
]
+
arctan
(
R
sin
(
β
-
θ
)
C
-
R
cos
(
β
-
θ
)
)
;
ρ
8
(
θ
)
=
C
2
+
R
2
-
2
CR
cos
(
β
-
θ
)
.
4. The twin-screw extrusion device according to claim 2 , wherein connection points between every two adjacent curve arcs of the second screw are N 1 , N 2 , N 3 , N 4 , N 5 , N 6 , N 7 , N 8 and N 9 , which respectively correspond to curve arcs S′ 12 , S′ 23 , S′ 34 , S′ 45 , S′ 56 , S′ 67 , S′ 78 , S′ 89 and S′ 91 , and an auxiliary angle is given as θ, 0≤θ≤B;
O′N 3 is taken as a polar axis, a polar diameter corresponding to any position of the curve arc S′ 23 is OP 2′ =ρ 2′ (θ), and an included angle between the polar diameter OP 2′ and the polar axis ON 3 is a polar angle ε 2′ (θ), which satisfies:
ε
2
′
(
θ
)
=
φ
1
′
+
β
+
φ
2
′
-
2
a
tan
[
K
d
tan
(
φ
1
+
φ
2
+
θ
-
θ
0
2
)
-
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
+
arctan
(
R
sin
(
β
-
θ
)
C
-
R
cos
(
β
-
θ
)
)
;
ρ
2
′
(
θ
)
=
C
2
+
R
2
-
2
CR
cos
(
β
-
θ
)
;
O′N 4 is taken as a polar axis, a polar diameter corresponding to any position of the curve arc S′ 45 is OP 4′ =ρ 4′ (θ), and an included angle between the polar diameter OP 4′ and the polar axis ON 4 is a polar angle ε 4′ (θ), which satisfies:
ε
4
′
(
θ
)
=
2
a
tan
(
K
d
tan
(
φ
1
+
φ
2
+
β
+
φ
3
+
θ
-
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
-
φ
1
′
-
β
-
φ
2
′
-
φ
3
′
+
arctan
(
R
sin
θ
C
-
R
cos
θ
)
;
ρ
4
′
(
θ
)
=
C
2
+
R
2
-
2
CR
cos
θ
;
O′N 6 is taken as a polar axis, a polar diameter corresponding to any position of the curve arc S′ 67 is OP 6′ =ρ 6′ (θ), and an included angle between the polar diameter OP 6′ and the polar axis ON 6 is a polar angle ε 6′ (θ), which satisfies:
ε
6
′
(
θ
)
=
φ
1
′
++
3
β
φ
2
′
+
φ
3
′
+
φ
4
′
+
φ
5
′
+
φ
6
′
-
2
a
tan
(
K
d
tan
(
φ
1
+
2
β
+
φ
2
+
φ
3
+
φ
4
+
φ
5
+
φ
6
+
θ
-
θ
0
2
)
)
-
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
+
arctan
(
R
sin
(
β
-
θ
)
C
-
R
cos
(
β
-
θ
)
)
;
p
6
′
(
θ
)
=
C
2
+
R
2
-
2
CR
cos
(
β
-
θ
)
;
O′N 8 is taken as a polar axis, a polar diameter corresponding to any position of the curve arc S′ 89 is OP 8′ =ρ 8′ (θ), and an included angle between the polar diameter OP 8′ and the polar axis ON 7 is a polar angle ε 8′ (θ), which satisfies:
ε
8
′
(
θ
)
=
2
a
tan
(
K
d
tan
(
φ
1
+
3
β
+
φ
2
+
φ
3
+
φ
4
+
φ
5
+
φ
6
+
φ
7
+
θ
-
θ
0
2
)
)
+
2
a
tan
(
K
d
tan
(
θ
0
2
)
)
-
φ
1
′
-
φ
2
′
-
φ
3
′
-
φ
4
′
-
φ
5
′
-
φ
6
′
-
φ
7
′
-
3
β
+
arctan
(
R
sin
θ
C
-
R
cos
θ
)
;
p
8
′
(
θ
)
=
C
2
+
R
2
-
2
CR
cos
θ
.
5. The twin-screw extrusion device according to claim 1 , wherein, along an axial direction of the first screw, the barrel is sequentially provided with a conveying section, a melting section, an exhaust section and a mixing extrusion section, the conveying section is provided with a feed inlet, the exhaust section is provided with an exhaust outlet, and the mixing extrusion section is provided with a discharge outlet.
6. The twin-screw extrusion device according to claim 1 , wherein both an outer diameter of the first screw and an outer diameter of the second screw are tangent to an inner wall of the barrel.Cited by (0)
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